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Finding the Fourth Proportional to 538,731.53, 808,097.28 and 511,792.72

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Solution

The fourth proportional to 538,731.53, 808,097.28 and 511,792.72 is: 767,689.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,731.53 : 808,097.28 = 511,792.72 : x
  2. Step 2: Convert to fraction form
    538,731.53/808,097.28 = 511,792.72/x
  3. Step 3: Cross multiply
    538,731.53x = 808,097.28 × 511,792.72
  4. Step 4: Simplify right side
    538,731.53x = 413,578,302,396.84
  5. Step 5: Solve for x
    x = 413,578,302,396.84/538,731.53
  6. Step 6: Final answer
    x = 767,689.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.